Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 17: Poster I
DY 17.45: Poster
Dienstag, 26. Februar 2008, 16:00–18:00, Poster C
Travelling and breathing dissipative solitons in a three-component reaction-diffusion system — •Svetlana V. Gurevich1, Shalva Amiranashvili2, Hans-Georg Purwins3, and Rudolf Friedrich1 — 1Institute for Theoretical Physics, WWU Münster, 48149 Münster, Germany — 2Weierstrass Institut for Applied Analysis and Stochastics, 10117 Berlin, Germany — 3Institute of Applied Physics, WWU Münster, 48149 Münster, Germany
We are interested in stability of the localized solutions in a three component reaction-diffusion system with one activator and two inhibitors, which is considered as phenomenological model of the planar dc gas-discharge system with high-ohmic electrode operating in the glow mode. Here we consider the situation, where two critical modes become unstable simultaneously. In this case two control parameters are to be changed, so one can speak about codim=2 bifurcation point. This situation is analyzed performing a two-time-scale expansion in the vicinity of the bifurcation point. Also numerical simulations are carried out showing good agreement with the analytical predictions.